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112100331300 = 223521516733677
BaseRepresentation
bin110100001100110110…
…0110100111100100100
3101201100110112212021020
41220121230310330210
53314040141100200
6123255335051140
711045644044216
oct1503154647444
9351313485236
10112100331300
11435a5795101
1219886210ab0
13a7566a27a9
1455d61185b6
152db16c7ea0
hex1a19b34f24

112100331300 has 144 divisors (see below), whose sum is σ = 327065649792. Its totient is φ = 29643264000.

The previous prime is 112100331269. The next prime is 112100331311. The reversal of 112100331300 is 3133001211.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 112100331300.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30485062 + ... + 30488738.

Almost surely, 2112100331300 is an apocalyptic number.

112100331300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112100331300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163532824896).

112100331300 is an abundant number, since it is smaller than the sum of its proper divisors (214965318492).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

112100331300 is a wasteful number, since it uses less digits than its factorization.

112100331300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4518 (or 4511 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 112100331300 its reverse (3133001211), we get a palindrome (115233332511).

The spelling of 112100331300 in words is "one hundred twelve billion, one hundred million, three hundred thirty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 151 300 302 453 604 673 755 906 1346 1510 1812 2019 2265 2692 3020 3365 3677 3775 4038 4530 6730 7354 7550 8076 9060 10095 11031 11325 13460 14708 15100 16825 18385 20190 22062 22650 33650 36770 40380 44124 45300 50475 55155 67300 73540 91925 100950 101623 110310 183850 201900 203246 220620 275775 304869 367700 406492 508115 551550 555227 609738 1016230 1103100 1110454 1219476 1524345 1665681 2032460 2220908 2474621 2540575 2776135 3048690 3331362 4949242 5081150 5552270 6097380 6662724 7423863 7621725 8328405 9898484 10162300 11104540 12373105 13880675 14847726 15243450 16656810 24746210 27761350 29695452 30486900 33313620 37119315 41642025 49492420 55522700 61865525 74238630 83284050 123731050 148477260 166568100 185596575 247462100 371193150 373667771 742386300 747335542 1121003313 1494671084 1868338855 2242006626 3736677710 4484013252 5605016565 7473355420 9341694275 11210033130 18683388550 22420066260 28025082825 37366777100 56050165650 112100331300